%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : LAT082-1 : TPTP v9.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Jul 15 07:05:43 AM UTC 2025
% Result : Unsatisfiable 9.94s 10.12s
% Output : CNFRefutation 9.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 2
% Syntax : Number of clauses : 78 ( 78 unt; 0 nHn; 3 RR)
% Number of literals : 78 ( 77 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 220 ( 46 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('theBenchmark.p',prove_normal_axioms_3) ).
cnf(c1,axiom,
join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(W,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(W,join(Y,V)),join(U,Y)),Y)),meet(U2,join(Y,meet(meet(join(W,join(Y,V)),join(U,Y)),Y)))),join(X,join(join(meet(W,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
file('theBenchmark.p',single_axiom) ).
cnf(c2,plain,
join(meet(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),W),meet(join(meet(X,join(join(meet(V,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),U)),join(meet(Y,Z),meet(Z,join(Y,Z))))),meet(Z,join(X,join(join(meet(V,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),U)),join(meet(Y,Z),meet(Z,join(Y,Z))))))),join(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),W))) = join(meet(Y,Z),meet(Z,join(Y,Z))),
inference(equational,[status(thm)],[c1]) ).
cnf(c3,plain,
join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(W,Y),meet(Y,V)),Y)),meet(join(meet(U,join(join(meet(U2,Y),meet(Y,U3)),Y)),meet(join(meet(Y,meet(meet(join(U2,join(Y,U3)),join(U4,Y)),Y)),meet(U5,join(Y,meet(meet(join(U2,join(Y,U3)),join(U4,Y)),Y)))),join(U,join(join(meet(U2,Y),meet(Y,U3)),Y)))),join(X,join(join(meet(W,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
inference(equational,[status(thm)],[c1,c2]) ).
cnf(c4,plain,
join(meet(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),Z),meet(Y,join(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),Z))) = Y,
inference(equational,[status(thm)],[c1,c3]) ).
cnf(c5,plain,
join(meet(X,Y),meet(X,join(X,Y))) = X,
inference(equational,[status(thm)],[c4]) ).
cnf(c6,plain,
join(meet(meet(X,Y),meet(X,join(X,Y))),meet(meet(X,Y),X)) = meet(X,Y),
inference(equational,[status(thm)],[c5]) ).
cnf(c8,plain,
join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(W,Y),meet(Y,V)),Y)),meet(Y,join(X,join(join(meet(W,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
inference(equational,[status(thm)],[c2,c4]) ).
cnf(c9,plain,
join(meet(X,join(join(meet(Y,Z),meet(Z,W)),Z)),meet(Z,join(X,join(join(meet(Y,Z),meet(Z,W)),Z)))) = Z,
inference(equational,[status(thm)],[c5,c8]) ).
cnf(c10,plain,
join(meet(X,join(Y,Y)),meet(Y,join(X,join(Y,Y)))) = Y,
inference(equational,[status(thm)],[c5,c9]) ).
cnf(c12,plain,
join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Z))) = Y,
inference(equational,[status(thm)],[c8,c9]) ).
cnf(c14,plain,
join(meet(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),meet(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),Y)) = meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),
inference(equational,[status(thm)],[c5,c12]) ).
cnf(c17,plain,
join(meet(X,join(join(meet(Y,Z),meet(Z,W)),Z)),meet(join(meet(Z,meet(meet(join(Y,join(Z,W)),join(V,Z)),Z)),meet(U,join(Z,meet(meet(join(Y,join(Z,W)),join(V,Z)),Z)))),join(X,join(join(meet(Y,Z),meet(Z,W)),Z)))) = Z,
inference(equational,[status(thm)],[c1,c5,c8]) ).
cnf(c18,plain,
join(meet(X,meet(meet(join(Y,join(X,Z)),join(W,X)),X)),meet(V,join(X,meet(meet(join(Y,join(X,Z)),join(W,X)),X)))) = X,
inference(equational,[status(thm)],[c5,c17]) ).
cnf(c19,plain,
join(meet(X,Y),meet(Y,join(X,Y))) = Y,
inference(equational,[status(thm)],[c12,c18]) ).
cnf(c20,plain,
meet(meet(join(X,join(Y,Z)),join(W,Y)),Y) = Y,
inference(equational,[status(thm)],[c18,c19]) ).
cnf(c21,plain,
join(meet(X,X),join(X,X)) = X,
inference(equational,[status(thm)],[c18,c20]) ).
cnf(c22,plain,
meet(meet(X,join(Y,X)),X) = X,
inference(equational,[status(thm)],[c20,c21]) ).
cnf(c23,plain,
join(meet(X,X),meet(Y,join(X,X))) = X,
inference(equational,[status(thm)],[c18,c20]) ).
cnf(c24,plain,
join(X,X) = X,
inference(equational,[status(thm)],[c10,c23]) ).
cnf(c25,plain,
meet(X,X) = X,
inference(equational,[status(thm)],[c19,c24]) ).
cnf(c26,plain,
join(X,meet(Y,X)) = X,
inference(equational,[status(thm)],[c23,c24,c25]) ).
cnf(c27,plain,
meet(X,meet(X,join(Y,X))) = meet(X,join(Y,X)),
inference(equational,[status(thm)],[c19,c22]) ).
cnf(c29,plain,
join(join(meet(X,Y),meet(Y,Z)),Y) = Y,
inference(equational,[status(thm)],[c17,c23]) ).
cnf(c30,plain,
join(meet(X,Y),Y) = Y,
inference(equational,[status(thm)],[c26,c29]) ).
cnf(c31,plain,
join(join(X,meet(X,Y)),X) = X,
inference(equational,[status(thm)],[c22,c29]) ).
cnf(c32,plain,
meet(meet(X,Y),Y) = meet(X,Y),
inference(equational,[status(thm)],[c5,c24,c30]) ).
cnf(c33,plain,
meet(join(X,meet(X,Y)),X) = join(X,meet(X,Y)),
inference(equational,[status(thm)],[c5,c24,c31]) ).
cnf(c35,plain,
meet(meet(join(X,Y),join(Z,X)),X) = X,
inference(equational,[status(thm)],[c20,c29]) ).
cnf(c36,plain,
meet(join(X,Y),X) = X,
inference(equational,[status(thm)],[c24,c32,c35]) ).
cnf(c37,plain,
join(X,meet(X,Y)) = X,
inference(equational,[status(thm)],[c33,c36]) ).
cnf(c38,plain,
meet(join(X,Y),Y) = Y,
inference(equational,[status(thm)],[c20,c36]) ).
cnf(c39,plain,
join(join(X,Y),X) = join(X,Y),
inference(equational,[status(thm)],[c33,c36]) ).
cnf(c40,plain,
meet(X,meet(Y,X)) = meet(Y,X),
inference(equational,[status(thm)],[c19,c36]) ).
cnf(c41,plain,
meet(X,meet(X,Y)) = meet(X,Y),
inference(equational,[status(thm)],[c8,c19,c36]) ).
cnf(c42,plain,
join(meet(X,Y),X) = X,
inference(equational,[status(thm)],[c3,c19,c20,c24,c25,c26,c29,c37,c41]) ).
cnf(c43,plain,
meet(X,join(Y,X)) = X,
inference(equational,[status(thm)],[c14,c19,c22,c24,c25,c27,c37,c38]) ).
cnf(c44,plain,
meet(X,join(X,Y)) = X,
inference(equational,[status(thm)],[c6,c24,c25,c36,c39]) ).
cnf(c46,plain,
meet(meet(X,Y),X) = meet(X,Y),
inference(equational,[status(thm)],[c6,c24,c25,c37,c41]) ).
cnf(c49,plain,
meet(join(X,join(Y,Z)),Y) = Y,
inference(equational,[status(thm)],[c20,c29,c32]) ).
cnf(c50,plain,
meet(X,join(Y,join(X,Z))) = X,
inference(equational,[status(thm)],[c6,c24,c44,c49]) ).
cnf(c51,plain,
meet(join(X,Y),meet(Z,Y)) = meet(Z,Y),
inference(equational,[status(thm)],[c19,c49]) ).
cnf(c54,plain,
join(join(X,join(Y,Z)),Y) = join(X,join(Y,Z)),
inference(equational,[status(thm)],[c31,c39,c49]) ).
cnf(c55,plain,
join(join(X,Y),meet(Z,Y)) = join(X,Y),
inference(equational,[status(thm)],[c19,c30,c43,c54]) ).
cnf(c59,plain,
meet(meet(X,Y),join(Z,Y)) = meet(X,Y),
inference(equational,[status(thm)],[c19,c50]) ).
cnf(c60,plain,
meet(meet(X,Y),join(Z,X)) = meet(X,Y),
inference(equational,[status(thm)],[c5,c50]) ).
cnf(c75,plain,
meet(X,meet(Y,meet(Z,X))) = meet(Y,meet(Z,X)),
inference(equational,[status(thm)],[c23,c24,c51]) ).
cnf(c95,plain,
meet(meet(X,meet(Y,Z)),Y) = meet(X,meet(Y,Z)),
inference(equational,[status(thm)],[c37,c59]) ).
cnf(c199,plain,
meet(meet(X,join(Y,meet(Z,X))),meet(Z,X)) = meet(Z,X),
inference(equational,[status(thm)],[c9,c29,c35]) ).
cnf(c200,plain,
meet(meet(X,Y),meet(Y,X)) = meet(Y,X),
inference(equational,[status(thm)],[c37,c199]) ).
cnf(c201,plain,
meet(X,Y) = meet(Y,X),
inference(equational,[status(thm)],[c46,c200]) ).
cnf(c214,plain,
meet(meet(X,Y),meet(X,join(Z,meet(X,Y)))) = meet(X,Y),
inference(equational,[status(thm)],[c8,c19,c35,c201]) ).
cnf(c215,plain,
meet(meet(X,Y),meet(X,join(Z,Y))) = meet(X,Y),
inference(equational,[status(thm)],[c55,c214]) ).
cnf(c225,plain,
meet(meet(X,Y),meet(join(Z,Y),join(W,meet(X,Y)))) = meet(X,Y),
inference(equational,[status(thm)],[c19,c20,c201]) ).
cnf(c227,plain,
meet(meet(X,Y),meet(join(Z,Y),X)) = meet(X,Y),
inference(equational,[status(thm)],[c37,c225]) ).
cnf(c228,plain,
meet(meet(X,Y),meet(join(Y,Z),X)) = meet(X,Y),
inference(equational,[status(thm)],[c39,c227]) ).
cnf(c230,plain,
meet(meet(X,Y),meet(join(Z,X),join(W,meet(X,Y)))) = meet(X,Y),
inference(equational,[status(thm)],[c5,c20,c201]) ).
cnf(c231,plain,
meet(meet(X,Y),meet(join(Z,X),Y)) = meet(X,Y),
inference(equational,[status(thm)],[c23,c24,c230]) ).
cnf(c232,plain,
meet(meet(X,Y),meet(meet(Z,X),Y)) = meet(meet(Z,X),Y),
inference(equational,[status(thm)],[c18,c20,c24,c201,c231]) ).
cnf(c233,plain,
join(meet(X,Y),meet(join(Z,X),Y)) = meet(join(Z,X),Y),
inference(equational,[status(thm)],[c8,c29,c42,c43,c44,c231]) ).
cnf(c234,plain,
join(meet(meet(X,Y),Z),meet(Y,Z)) = meet(Y,Z),
inference(equational,[status(thm)],[c18,c20,c24,c25,c26,c233]) ).
cnf(c235,plain,
join(meet(X,Y),meet(meet(Z,X),Y)) = meet(X,Y),
inference(equational,[status(thm)],[c31,c39,c232]) ).
cnf(c236,plain,
join(meet(join(X,Y),Z),meet(Y,Z)) = meet(join(X,Y),Z),
inference(equational,[status(thm)],[c26,c231]) ).
cnf(c237,plain,
join(meet(X,Y),meet(meet(X,Z),Y)) = meet(X,Y),
inference(equational,[status(thm)],[c37,c236]) ).
cnf(c241,plain,
meet(meet(X,Y),meet(meet(X,Z),Y)) = meet(meet(X,Z),Y),
inference(equational,[status(thm)],[c37,c201,c231]) ).
cnf(c244,plain,
join(meet(X,Y),meet(Y,join(Z,X))) = meet(Y,join(Z,X)),
inference(equational,[status(thm)],[c60,c234]) ).
cnf(c245,plain,
join(meet(meet(X,Y),Z),meet(Z,Y)) = meet(Z,Y),
inference(equational,[status(thm)],[c18,c20,c24,c25,c26,c244]) ).
cnf(c247,plain,
meet(X,Y) = meet(Y,meet(join(Y,Z),X)),
inference(equational,[status(thm)],[c201,c228,c235,c245]) ).
cnf(c249,plain,
meet(X,meet(join(X,Y),meet(Z,join(Y,X)))) = meet(Z,X),
inference(equational,[status(thm)],[c215,c237,c245,c247]) ).
cnf(c254,plain,
meet(meet(X,Y),meet(X,Z)) = meet(Z,meet(X,Y)),
inference(equational,[status(thm)],[c42,c247]) ).
cnf(c256,plain,
meet(meet(X,Y),meet(Z,Y)) = meet(Z,meet(X,Y)),
inference(equational,[status(thm)],[c26,c30,c40,c249]) ).
cnf(c261,plain,
join(meet(X,Y),meet(X,meet(Y,Z))) = meet(X,Y),
inference(equational,[status(thm)],[c95,c237]) ).
cnf(c262,plain,
meet(meet(X,Y),Z) = meet(meet(X,Z),meet(X,Y)),
inference(equational,[status(thm)],[c241,c245,c261]) ).
cnf(c263,plain,
meet(meet(X,Y),Z) = meet(Y,meet(X,Z)),
inference(equational,[status(thm)],[c254,c262]) ).
cnf(c264,plain,
meet(X,meet(Y,Z)) = meet(Z,meet(Y,X)),
inference(equational,[status(thm)],[c241,c256,c262,c263]) ).
cnf(c266,plain,
meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
inference(equational,[status(thm)],[c75,c256,c263]) ).
cnf(g1,plain,
meet(meet(a,b),c) = meet(a,meet(b,c)),
inference(equational,[status(thm)],[c201,c264,c266]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT082-1 : TPTP v9.0.0. Released v2.6.0.
% 0.04/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.32 % Computer : n005.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Jul 14 11:39:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 9.94/10.12 % SZS status Unsatisfiable
% 9.94/10.12 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------